Secular dynamics of multiplanetary circumbinary systems: stationary solutions and binary-planet secular resonance

DOI10.1007/S10569-017-9809-1zbMath1382.70010arXiv1711.02252OpenAlexW2781941037WikidataQ113351352 ScholiaQ113351352MaRDI QIDQ1706322

Eduardo Andrade-Ines, Philippe Robutel

Publication date: 21 March 2018

Published in: Celestial Mechanics and Dynamical Astronomy (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.02252

zbMATH Keywords

secular dynamicssecular resonanceanalytical developmentcircumbinary planets

Mathematics Subject Classification ID

Celestial mechanics (70F15) Orbital mechanics (70M20)

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Cites Work

• Secular dynamics of S-type planetary orbits in binary star systems: applicability domains of first- and second-order theories
• On the extension of the Laplace-Lagrange secular theory to order two in the masses for extrasolar systems
• Stability of the planetary three-body problem. I: Expansion of the planetary Hamiltonian
• Numerical experiments on planetary orbits in double stars
• The Lyapunov characteristic exponents as indicators of stochasticity in the restricted three-body problem
• Explicit expansion of the three-body disturbing function for arbitrary eccentricities and inclinations

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